What is the Greatest Common Factor of 46880 and 46895?

Greatest common factor (GCF) of 46880 and 46895 is 5.

GCF(46880,46895) = 5

We will now calculate the prime factors of 46880 and 46895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46880 and 46895.

How to find the GCF of 46880 and 46895?

We will first find the prime factorization of 46880 and 46895. After we will calculate the factors of 46880 and 46895 and find the biggest common factor number .

Step-1: Prime Factorization of 46880

Prime factors of 46880 are 2, 5, 293. Prime factorization of 46880 in exponential form is:

46880 = 2⁵ × 5¹ × 293¹

Step-2: Prime Factorization of 46895

Prime factors of 46895 are 5, 83, 113. Prime factorization of 46895 in exponential form is:

46895 = 5¹ × 83¹ × 113¹

Step-3: Factors of 46880

List of positive integer factors of 46880 that divides 46880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 293, 586, 1172, 1465, 2344, 2930, 4688, 5860, 9376, 11720, 23440

Step-4: Factors of 46895

List of positive integer factors of 46895 that divides 46880 without a remainder.

1, 5, 83, 113, 415, 565, 9379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46880 and 46895. The biggest common factor number is the GCF number.
So the greatest common factor 46880 and 46895 is 5.

Also check out the Least Common Multiple of 46880 and 46895